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Finding the Fourth Proportional to 4,771.22, 6,584.08 and 2,617.82

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Solution

The fourth proportional to 4,771.22, 6,584.08 and 2,617.82 is: 3,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.22 : 6,584.08 = 2,617.82 : x
  2. Step 2: Convert to fraction form
    4,771.22/6,584.08 = 2,617.82/x
  3. Step 3: Cross multiply
    4,771.22x = 6,584.08 × 2,617.82
  4. Step 4: Simplify right side
    4,771.22x = 17,235,936.31
  5. Step 5: Solve for x
    x = 17,235,936.31/4,771.22
  6. Step 6: Final answer
    x = 3,612.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.